It is known that in the hyperbola X & # 178 / 9-y & # 178 / 16 = 1, a and B are the left and right vertices of the hyperbola, and the line L passing through point a is perpendicular to the X axis, Next: find the trajectory equation of the right vertex of the hyperbola and the point with the same distance from the straight line L For the benefit of both sides, the copy has been proofread,

a^2=9 ,b^2=16 ,
So a (- 3,0), B (3,0), linear l equation x = - 3,
Defined by parabola, the trajectory is a parabola with B as the focus and l as the guide line,
So p / 2 = 3, 2p = 12,
So the trajectory equation is y ^ 2 = 12x

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